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Jimmy needs to know how tall one of his trees is before he calls the tree removal company. He knows the height of a flag pole in his yard is 35 ft. At the same time the flagpole casts a shadow of 7 ft, the tree casts a shadow of 6.7 ft. How tall is the tree (round to the nearest foot)?

Sagot :

Solution:

Given:

The sketch of the scenarios;

By similar triangles,

[tex]\begin{gathered} \frac{35}{7}=\frac{h}{6.7} \\ Cross\text{ multiplying;} \\ 7h=35\times6.7 \\ 7h=234.5 \\ h=\frac{234.5}{7} \\ h=33.5ft \\ \\ To\text{ the nearest foot,} \\ h=34ft \end{gathered}[/tex]

Therefore, to the nearest foot, the tree is 34 feet tall.

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